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ABC is a triangle right angled at A and a \( \Large \perp AD \) is drawn on the hypotenuse BC. What is BC.AD equal to?

A) AB.AC
B) AB.AD
C) CA.CD
D) AD.DB

Correct Answer:

A) AB.AC

Description for Correct answer:
In case of a right angled triangle, if we draw a perpendicular from the vertex containing right angle to the hypotenuse, we get three triangles, two smaller and one original and these three triangles are similar triangles.

So, \( \Large \triangle ABC - \triangle ABD - \triangle ADC \)

\( \Large \therefore BC.AD = AB.AC \)

Part of solved Geometry questions and answers : >> Elementary Mathematics >> Geometry

Comments

Similar Questions

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